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Finding the Fourth Proportional to 1,297.34, 1,946.15 and 475.69

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Solution

The fourth proportional to 1,297.34, 1,946.15 and 475.69 is: 713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.34 : 1,946.15 = 475.69 : x
  2. Step 2: Convert to fraction form
    1,297.34/1,946.15 = 475.69/x
  3. Step 3: Cross multiply
    1,297.34x = 1,946.15 × 475.69
  4. Step 4: Simplify right side
    1,297.34x = 925,764.09
  5. Step 5: Solve for x
    x = 925,764.09/1,297.34
  6. Step 6: Final answer
    x = 713.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.